Abstract
It is shown that all continuous two-person general-sum games over the square have equilibrium pairs of mixed strategy. A slight extension of Helly's Second Theorem, which may be of some slight interest in its own right, is used. The result is then generalized to all continuousn-person games on the cube.
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Research supported by Army Research Office-Durham under grant DA-ARO-D-31-124-72-G30 to Rice University.
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Owen, G. Existence of equilibrium pairs in continuous games. Int J Game Theory 5, 97–105 (1976). https://doi.org/10.1007/BF01753312
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DOI: https://doi.org/10.1007/BF01753312